Answer:
It is unsafe
Explanation:
v = Velocity of car = 34 m/s
r = Radius of turn = 190 m
= Coefficient of static friction = 0.5
m = Mass of car = 1600 kg
g = Acceleration due to gravity = 9.81 m/s²
The centripetal force is given by

The frictional force is given by

If the centripetal force is greater than the frictional force then the car will slip which makes it unsafe.
Here, the centripetal force is greater than the frictional force which makes it unsafe to drive it at that speed.
An inclined plane makes work easier by breaking an upward or downward movement into smaller increments.
A screw is like an inclined plane wrapped around a cylinder. It turns a small rotational force into a larger forward driving force
Explanation:
Given that,
Input force on a simple machine, F = 2 N
The output force on a simple machines, F' = 4 N
The ratio of the output force to the input force of any simple machines is called its mechanical advantage. Mathematically, it is given by :

Putting the value of F and F' in above equation. We get :

m = 2
So, the mechanical advantage of the simple machines is 2. Hence, this is the required solution.
Answer:

Explanation:
From the question we are told that
Initial speed
Final speed 
Generally the Newtons equation of motion is mathematically represented by

with
Therefore

Therefore




Answer:
1 kg
Explanation:
Applying,
Hook's law,
F = ke................. Equation 1
Where F = force, k = force constant of the spring, e = extension.
But from the question,
The weight of the bottle is the force acting on the spring scale
therefore,
mg = ke............ Equation 2
Where m = mass of the bottle, g = acceleration due to gravity.
make k the subject of the equation
k = mg/e............ Equation 3
Given: m = 0.5 kg, e = 1 cm = 0.01 m
Constant: g = 9.8 m/s²
k = (0.5×9.8)/0.01
k = 490 N/m
If the mass of the second bottle is weighed,
given: e = 2 cm = 0.02 m
subtitute into equation 1
m×9.8 = 490×0.02
9.8m = 9.8
m = 9.8/9.8
m = 1 kg.
Hence the mass of the second bottle is 1 kg